On equation of geodesic deviation and its solutions

Details On equation of geodesic deviation and its solutions On equation of geodesic deviation and its solutions

1997-05-02

arxiv.org/abs/solv-int/9705003v1

Bulletin of Moldavian Academy of Sciences, ser. math. N3, (1996) 31-48

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages, Latex

Scientific paper

Equations of geodesic deviation for the 3-dimensional and 4-dimensional Riemann spaces are discussed. Availability of wide classes of exact solutions of such equations, due to recent results for the matrix Schr\"odinger equation, is demonstrated. Particular classes of exact solutions for the geodesic deviation equation as well as for the Raychaudhuri and generalized Raychaudhuri equation are presented. Solutions of geodesic deviation equation for the Schwarzshild and Kasner metrics are found.

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